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Finding the Third Proportional to 57,943 and 122,113

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Solution

The third proportional to 57,943 and 122,113 is: 257,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,943 : 122,113 = 122,113 : x
  2. Step 2: Convert to fraction form
    57,943/122,113 = 122,113/x
  3. Step 3: Cross multiply
    57,943x = 122,113 × 122,113
  4. Step 4: Simplify right side
    57,943x = 14,911,584,769
  5. Step 5: Solve for x
    x = 14,911,584,769/57,943
  6. Step 6: Final answer
    x = 257,349.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.